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Finding the Third Proportional to 28,744 and 61,862

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Solution

The third proportional to 28,744 and 61,862 is: 133,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,744 : 61,862 = 61,862 : x
  2. Step 2: Convert to fraction form
    28,744/61,862 = 61,862/x
  3. Step 3: Cross multiply
    28,744x = 61,862 × 61,862
  4. Step 4: Simplify right side
    28,744x = 3,826,907,044
  5. Step 5: Solve for x
    x = 3,826,907,044/28,744
  6. Step 6: Final answer
    x = 133,137.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.